Question

Kylie went into a grocery store and bought 3 apples and 4 bananas, costing a total of $6.50. Lily went into the same grocery store and bought 10 apples and 5 bananas, costing a total of $17.50. Write a system of equations that could be used to determine the price of each apple and the price of each banana. Define the variables that you use to write the system.

Answer 1

The system of equations that could be used to determine the price of each apple and the price of each banana is:

3x + 4y = 6.50

10x + 5y = 17.50

Where x is the price of each apple and y is the price of each banana

Step-by-step explanation:

The given is:

• Kylie went into a grocery store and bought 3 apples and 4 bananas, costing a total of $6.50
• Lily went into the same grocery store and bought 10 apples and 5 bananas, costing a total of $17.50

We need to write a system of equations that could be used to determine the price of each apple and the price of each banana

Assume that x represents the price per apple, and y represents the price per banana

∵ The price of each apple is $x

∵ The price of each banana is $y

∵ Kylie bought 3 apples and 4 bananas for a total $6.50

- Multiply x by 3 and y by 4, then add the products and equate

  the sum by 6.50

∴ 3x + 4y = 6.50 ⇒ (1)

∵ Lily bought 10 apples and 5 bananas for a total $17.50

- Multiply x by 10 and y by 5, then add the products and equate

  the sum by 17.50

∴ 10x + 5y = 17.50 ⇒ (2)

The system of equations that could be used to determine the price of each apple and the price of each banana is:

3x + 4y = 6.50

10x + 5y = 17.50

Where x is the price of each apple and y is the price of each banana

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

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